Home / 1,540-3,401

Finding the Third Proportional to 1,540 and 3,401

Calculator

Solution

The third proportional to 1,540 and 3,401 is: 7,510.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,540 : 3,401 = 3,401 : x
  2. Step 2: Convert to fraction form
    1,540/3,401 = 3,401/x
  3. Step 3: Cross multiply
    1,540x = 3,401 × 3,401
  4. Step 4: Simplify right side
    1,540x = 11,566,801
  5. Step 5: Solve for x
    x = 11,566,801/1,540
  6. Step 6: Final answer
    x = 7,510.91

Related Problems

Find third proportional to 770 and 1,700.50
Half scale
Find third proportional to 3,080 and 6,802
Double scale
Find third proportional to 1,542 and 3,405
Similar ratio
Find third proportional to 2,310 and 5,101.50
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.